Answer:
Explanation:
Assumptions
This isn't drawn exactly to scale I don't think. I also think you are intended to believe that the inscribed figure is a rectangle, but that is a huge assumption.
If I'm right and that is a rectangle then the diagonal of the rectangle is also the diameter of the circle.
A diameter is also the hypotenuse of the two triangles formed by cutting the rectangle in half.
So let's go on.
Step One
Find the diagonal / hypotenuse.
a = 8 in
b = 6 in
c = ?
c^2 = a^2 + b^2
c^2 = 8^2 + 6^2
c^2 = 64 + 36
sqrt(c^2) = sqrt(100)
c = 10
Step 2
Find the radius of the circle
2*r = d
d = 10
2*r = 10
r = 10/2
r = 5
Step two
Find the circumference.
Circumference = 2*pi * r
Circumference = 2* pi * 5
Circumference = 10*pi <<<< Answer
That is one possibility for an answer
The other is to use 3.14 for pi
Circumference = 2*5*3.14 = 31.4 <<<< Answer